This paper presents an iterative spectral framework for pairwise clustering and perceptual grouping. Our model is expressed in terms of two sets of parameters. Firstly, there are cluster memberships which represent the a1nity of objects to clusters. Secondly, there is a matrix of link weights for pairs of tokens. We adopt a model in which these two sets of variables are governed by a Bernoulli ...

OBJECTIVE To examine weight loss patterns and predictors among participants in a primary care-based translation study of the Diabetes Prevention Program lifestyle intervention. DESIGN AND METHODS Cluster analysis identified short-term (12-week) weight loss patterns among 72 intervention participants. Analysis of variance assessed cluster differences in weight loss maintenance at 15-month foll...

We present precise localizations of AXP 1E1841−045 and SGR 1627−41 with Chandra. We obtained new infrared observations of SGR 1627−41 and reanalyzed archival observations of AXP 1E1841−045 in order to refine their positions and search for infrared counterparts. A faint source is detected inside the error circle of AXP 1E1841−045. In the case of SGR 1627−41, several sources are located within th...

these are notes from introductory survey lectures given at the institute for studies in theoretical physics and mathematics (ipm), teheran, in 2008 and 2010. we present the definition and the fundamental properties of fomin-zelevinsky’s cluster algebras. then, we introduce quiver representations and show how they can be used to construct cluster variables, which are the canonical generators of ...

The necessary and sufficient conditions are found for the weight function v, which provide the boundedness and compactness of the Riemann–Liouville operator Rα from Lp to L q v . The criteria are also established for the weight function w, which guarantee the boundedness and compactness of the Weyl operator Wα from L p w to Lq . In this paper, the necessary and sufficient conditions are found f...

We deal with the radix-r representation used for the scalar multiplication of pairing-based cryptosystems with characteristic r. Our goal of this paper is to present some invariant properties about the signed radix-r representation; (1) approximation formulae for the average significant length and the average hamming weight of gNAF and wrNAF representation, (2) some classification formulae of e...

In this paper we obtain some results about a class of functions ̺ : Ω → R+, where Ω is an open set of R, which are related to the distance function from a fixed subset S̺ ⊂ ∂Ω. We deduce some imbedding theorems in weighted Sobolev spaces, where the weight function is a power of a function ̺.

These are notes from introductory survey lectures given at the Institute for Studies in Theoretical Physics and Mathematics (IPM), Teheran, in 2008 and 2010. We present the definition and the fundamental properties of Fomin-Zelevinsky’s cluster algebras. Then, we introduce quiver representations and show how they can be used to construct cluster variables, which are the canonical generator...

Interim Reports on work of the International Institute for Applied Systems Analysis receive only limited review. Views or opinions expressed herein do not necessarily represent those of the Institute, its National Member Organizations, or other organizations supporting the work. Abstract A body of empirical evidence has shown that many managers would welcome new ways of highlighting catastrophi...